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Finding the Fourth Proportional to 30,589.84, 45,880.71 and 11,856.97

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Solution

The fourth proportional to 30,589.84, 45,880.71 and 11,856.97 is: 17,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.84 : 45,880.71 = 11,856.97 : x
  2. Step 2: Convert to fraction form
    30,589.84/45,880.71 = 11,856.97/x
  3. Step 3: Cross multiply
    30,589.84x = 45,880.71 × 11,856.97
  4. Step 4: Simplify right side
    30,589.84x = 544,006,202.05
  5. Step 5: Solve for x
    x = 544,006,202.05/30,589.84
  6. Step 6: Final answer
    x = 17,783.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.